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Finding the Fourth Proportional to 476,576.00, 714,425.92 and 206,534.81

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Solution

The fourth proportional to 476,576.00, 714,425.92 and 206,534.81 is: 309,612.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,576.00 : 714,425.92 = 206,534.81 : x
  2. Step 2: Convert to fraction form
    476,576.00/714,425.92 = 206,534.81/x
  3. Step 3: Cross multiply
    476,576.00x = 714,425.92 × 206,534.81
  4. Step 4: Simplify right side
    476,576.00x = 147,553,824,077.76
  5. Step 5: Solve for x
    x = 147,553,824,077.76/476,576.00
  6. Step 6: Final answer
    x = 309,612.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.